TSTP Solution File: GRP124-9.004 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:21 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 56
% Syntax : Number of formulae : 232 ( 59 unt; 0 def)
% Number of atoms : 477 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 465 ( 220 ~; 212 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 34 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product1(X,Y,e_1)
| product1(X,Y,e_2)
| product1(X,Y,e_3)
| product1(X,Y,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,W,Z] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,W,Y,Z] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [W,Y,X,Z] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Y,W,Z] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,X,Z2)
| product2(Z2,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f34,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f35,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f36,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f37,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f38,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f39,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f40,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f41,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f42,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f43,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f44,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f45,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f46,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f47,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f48,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_4) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f49,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f53,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f57,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f64,plain,
! [X,Y,Z2] :
( ! [Z1] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,X,Z2) )
| product2(Z2,Y,X) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X2,X0,X3)
| product2(X3,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f55,f65]) ).
fof(f67,plain,
! [X0] : product2(X0,X0,X0),
inference(resolution,[status(thm)],[f66,f55]) ).
fof(f68,plain,
! [X0,X1] :
( ~ product1(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f50,f55]) ).
fof(f70,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f52,f55]) ).
fof(f72,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f54,f55]) ).
fof(f74,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f58,f67]) ).
fof(f88,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f48,f35]) ).
fof(f90,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f91,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_1,X0,e_1)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f366,plain,
( spl0_68
<=> product1(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( product1(e_4,e_3,e_1)
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_69
<=> product1(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( product1(e_4,e_3,e_2)
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_70
<=> product1(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( product1(e_4,e_3,e_3)
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_71
<=> product1(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( product1(e_4,e_3,e_4)
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f88,f34]) ).
fof(f379,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f378,f366,f369,f372,f375]) ).
fof(f380,plain,
( spl0_72
<=> product1(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( product1(e_4,e_2,e_1)
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_73
<=> product1(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( product1(e_4,e_2,e_2)
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_74
<=> product1(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( product1(e_4,e_2,e_3)
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( spl0_75
<=> product1(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( product1(e_4,e_2,e_4)
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f88,f33]) ).
fof(f393,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f392,f380,f383,f386,f389]) ).
fof(f394,plain,
( spl0_76
<=> product1(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f395,plain,
( product1(e_4,e_1,e_1)
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( spl0_77
<=> product1(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( product1(e_4,e_1,e_2)
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( spl0_78
<=> product1(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( product1(e_4,e_1,e_3)
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_79
<=> product1(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( product1(e_4,e_1,e_4)
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f88,f32]) ).
fof(f407,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f406,f394,f397,f400,f403]) ).
fof(f414,plain,
( spl0_82
<=> product1(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( product1(e_3,e_4,e_3)
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( spl0_83
<=> product1(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( product1(e_3,e_4,e_4)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f431,plain,
( spl0_87
<=> product1(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( product1(e_3,e_3,e_4)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f450,plain,
( spl0_92
<=> product1(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f456,plain,
( spl0_94
<=> product1(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f467,plain,
( spl0_97
<=> product1(e_2,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( product1(e_2,e_4,e_2)
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f478,plain,
( spl0_100
<=> product1(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( product1(e_2,e_3,e_1)
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_101
<=> product1(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( product1(e_2,e_3,e_2)
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_102
<=> product1(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( product1(e_2,e_3,e_3)
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( spl0_103
<=> product1(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( product1(e_2,e_3,e_4)
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f90,f34]) ).
fof(f491,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f490,f478,f481,f484,f487]) ).
fof(f492,plain,
( spl0_104
<=> product1(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( product1(e_2,e_2,e_1)
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f506,plain,
( spl0_108
<=> product1(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( product1(e_2,e_1,e_1)
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_109
<=> product1(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( product1(e_2,e_1,e_2)
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f520,plain,
( spl0_112
<=> product1(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( product1(e_1,e_4,e_1)
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f529,plain,
( spl0_115
<=> product1(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( product1(e_1,e_4,e_4)
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f534,plain,
( spl0_116
<=> product1(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( product1(e_1,e_3,e_1)
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_117
<=> product1(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( product1(e_1,e_3,e_2)
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( spl0_118
<=> product1(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f541,plain,
( product1(e_1,e_3,e_3)
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( spl0_119
<=> product1(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( product1(e_1,e_3,e_4)
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f91,f34]) ).
fof(f547,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f546,f534,f537,f540,f543]) ).
fof(f548,plain,
( spl0_120
<=> product1(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( product1(e_1,e_2,e_1)
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_121
<=> product1(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( product1(e_1,e_2,e_2)
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f801,plain,
( equalish(e_1,e_4)
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f404,f70]) ).
fof(f802,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f38]) ).
fof(f803,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f807,plain,
! [X0] :
( ~ product1(e_1,X0,e_4)
| product2(e_3,X0,e_1)
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f401,f65]) ).
fof(f809,plain,
! [X0] :
( ~ product1(e_4,X0,e_2)
| equalish(X0,e_1)
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f398,f52]) ).
fof(f817,plain,
( equalish(e_4,e_1)
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f395,f72]) ).
fof(f818,plain,
( $false
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f45]) ).
fof(f819,plain,
~ spl0_76,
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( equalish(e_2,e_4)
| ~ spl0_75 ),
inference(resolution,[status(thm)],[f390,f70]) ).
fof(f822,plain,
( $false
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f41]) ).
fof(f823,plain,
~ spl0_75,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f827,plain,
! [X0] :
( ~ product1(e_2,X0,e_4)
| product2(e_3,X0,e_2)
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f387,f65]) ).
fof(f835,plain,
! [X0] :
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_2)
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f381,f52]) ).
fof(f842,plain,
( equalish(e_3,e_4)
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f376,f70]) ).
fof(f843,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f44]) ).
fof(f844,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( equalish(e_4,e_3)
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f373,f72]) ).
fof(f846,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f47]) ).
fof(f847,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f846]) ).
fof(f848,plain,
( equalish(e_3,e_1)
| ~ spl0_69
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f370,f809]) ).
fof(f849,plain,
( $false
| ~ spl0_69
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f42]) ).
fof(f850,plain,
( ~ spl0_69
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( equalish(e_3,e_2)
| ~ spl0_68
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f367,f835]) ).
fof(f852,plain,
( $false
| ~ spl0_68
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f43]) ).
fof(f853,plain,
( ~ spl0_68
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f854,plain,
! [X0] :
( ~ product1(X0,e_3,e_1)
| equalish(X0,e_4)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f367,f54]) ).
fof(f875,plain,
( equalish(e_1,e_3)
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f457,f70]) ).
fof(f876,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f37]) ).
fof(f877,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f881,plain,
( equalish(e_3,e_1)
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f451,f72]) ).
fof(f882,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f42]) ).
fof(f883,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( equalish(e_4,e_2)
| ~ spl0_73 ),
inference(resolution,[status(thm)],[f384,f72]) ).
fof(f885,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f46]) ).
fof(f886,plain,
~ spl0_73,
inference(contradiction_clause,[status(thm)],[f885]) ).
fof(f911,plain,
( equalish(e_4,e_3)
| ~ spl0_87 ),
inference(resolution,[status(thm)],[f432,f68]) ).
fof(f912,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f911,f47]) ).
fof(f913,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f921,plain,
( equalish(e_3,e_4)
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f418,f72]) ).
fof(f922,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f921,f44]) ).
fof(f923,plain,
~ spl0_83,
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( equalish(e_4,e_3)
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f415,f70]) ).
fof(f926,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f47]) ).
fof(f927,plain,
~ spl0_82,
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f946,plain,
( equalish(e_2,e_1)
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f507,f72]) ).
fof(f947,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f39]) ).
fof(f948,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f947]) ).
fof(f958,plain,
( equalish(e_1,e_2)
| ~ spl0_104 ),
inference(resolution,[status(thm)],[f493,f68]) ).
fof(f959,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f36]) ).
fof(f960,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f961,plain,
( product2(e_3,e_3,e_2)
| ~ spl0_103
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f488,f827]) ).
fof(f971,plain,
( equalish(e_2,e_3)
| ~ spl0_103
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f961,f74]) ).
fof(f972,plain,
( $false
| ~ spl0_103
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f40]) ).
fof(f973,plain,
( ~ spl0_103
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f994,plain,
( equalish(e_2,e_3)
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f485,f72]) ).
fof(f995,plain,
( $false
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f40]) ).
fof(f996,plain,
~ spl0_102,
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( equalish(e_3,e_2)
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f482,f70]) ).
fof(f999,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f998,f43]) ).
fof(f1000,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( equalish(e_2,e_4)
| ~ spl0_100
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f479,f854]) ).
fof(f1002,plain,
( $false
| ~ spl0_100
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f41]) ).
fof(f1003,plain,
( ~ spl0_100
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1008,plain,
! [X0] :
( ~ product1(X0,e_3,e_2)
| equalish(X0,e_4)
| ~ spl0_69 ),
inference(resolution,[status(thm)],[f370,f54]) ).
fof(f1019,plain,
( equalish(e_1,e_2)
| ~ spl0_109 ),
inference(resolution,[status(thm)],[f510,f70]) ).
fof(f1020,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f36]) ).
fof(f1021,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1034,plain,
( equalish(e_4,e_2)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f468,f70]) ).
fof(f1035,plain,
( $false
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1034,f46]) ).
fof(f1036,plain,
~ spl0_97,
inference(contradiction_clause,[status(thm)],[f1035]) ).
fof(f1061,plain,
( equalish(e_1,e_2)
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f552,f72]) ).
fof(f1062,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f36]) ).
fof(f1063,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( equalish(e_2,e_1)
| ~ spl0_120 ),
inference(resolution,[status(thm)],[f549,f70]) ).
fof(f1066,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f39]) ).
fof(f1067,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1077,plain,
( product2(e_3,e_3,e_1)
| ~ spl0_119
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f544,f807]) ).
fof(f1082,plain,
( equalish(e_1,e_3)
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f541,f72]) ).
fof(f1083,plain,
( $false
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f37]) ).
fof(f1084,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1086,plain,
( equalish(e_1,e_4)
| ~ spl0_117
| ~ spl0_69 ),
inference(resolution,[status(thm)],[f538,f1008]) ).
fof(f1087,plain,
( $false
| ~ spl0_117
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1086,f38]) ).
fof(f1088,plain,
( ~ spl0_117
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f1087]) ).
fof(f1093,plain,
( equalish(e_1,e_4)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f530,f72]) ).
fof(f1094,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1093,f38]) ).
fof(f1095,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1106,plain,
( equalish(e_4,e_1)
| ~ spl0_112 ),
inference(resolution,[status(thm)],[f521,f70]) ).
fof(f1107,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f1106,f45]) ).
fof(f1108,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1114,plain,
( equalish(e_1,e_3)
| ~ spl0_119
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f1077,f74]) ).
fof(f1115,plain,
( $false
| ~ spl0_119
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f37]) ).
fof(f1116,plain,
( ~ spl0_119
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( equalish(e_3,e_1)
| ~ spl0_116 ),
inference(resolution,[status(thm)],[f535,f70]) ).
fof(f1119,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f42]) ).
fof(f1120,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
$false,
inference(sat_refutation,[status(thm)],[f379,f393,f407,f491,f547,f803,f819,f823,f844,f847,f850,f853,f877,f883,f886,f913,f923,f927,f948,f960,f973,f996,f1000,f1003,f1021,f1036,f1063,f1067,f1084,f1088,f1095,f1108,f1116,f1120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:40:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44 % Elapsed time: 0.081992 seconds
% 0.20/0.44 % CPU time: 0.544482 seconds
% 0.20/0.44 % Total memory used: 19.120 MB
% 0.20/0.44 % Net memory used: 17.998 MB
%------------------------------------------------------------------------------